d = vt
That's if your velocity is a constant. When there's an acceleration, you can't multiply those two things when v is different for each t!
So it's actually:
y=y0+v0t+0.5*a*t^2
(which is exactly your integral, because the integral over v, which is v=v0+at is exactly what I wrote above.)
[Edit: x-post integrals]
You don't need that first comma.
That's so not the big problem with the sentence.
If the thingie traveled at a constant 40m/s for four seconds, it went 40m
Not really paying attention to the problem as a whole--but in it is there a reason travelling 40m/s for 4s doesn't take you 160m?
If the thingie traveled at a constant 40m/s for four seconds, it went 40m.
So it WAS 4 seconds! v = at, not at^2. At least that makes sense.
y=y0+v0t+0.5*a*t^2
Where did the 0.5 come from?
What's the chances of her daughter not being totally screwed up?
Frankly, despite custody battles I think better than if ANS were still alive. I just hope there's an affectionate aunt or nanny in there to counterbalance the Daddy's Little Trust Fund effect.
Not really paying attention to the problem as a whole--but in it is there a reason travelling 40m/s for 4s doesn't take you 160m?
You're right.
But somehow I got the right answer. I sorta did it graphically in my head. Now I'm trying to figure out how to explain what I did....
Where did the 0.5 come from?
The integral of the velocity.
Where did the 0.5 come from?
When you do an integral of x^n, it is equal to a constant plus (1/(n+1))*x^(n+1).
[Take this and try to find its derivative - the opposite action to integral - and it's x^n]
So if we have v, the result of the integral is (1/(1+1))*x^(1+1)=0.5*x^2.
Look at all of you with your lovely math brains.
admires without understanding
::is sad::
I used to know how to do that stuff. Retained it just long enough to pass a test and then it all went buh-bye. Use it or lose it, peeps.
[Take this and try to find its derivative - the opposite action to integral - and it's x^n]
Right right! Now I remember. Sorta. Oh, calculus. I liked you when you made teddy bears.